Abstract
In this article we consider local solutions for stochastic Navier Stokes equations, based on the approach of Von Wahl, for the deterministic case. We present several approaches of the concept, depending on the smoothness available. When smoothness is available, we can in someway reduce the stochastic equation to a deterministic one with a random parameter. In the general case, we mimic the concept of local solution for stochastic differential equations.
| Original language | English |
|---|---|
| Pages (from-to) | 241-273 |
| Journal | ESAIM: Modelisation Mathematique et Analyse Numerique |
| Volume | 34 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Mar 2000 |
| Externally published | Yes |
Research Keywords
- Abstract parabolic equations
- Functional equation
- Ito equation
- Ito integral
- Local solution
- Mild solution
- Navier Stokes equations
- Random time
- Stochastic equations
- Stokes operator
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